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The magnitude of the component of the ve...

The magnitude of the component of the vector `2hati+3hatj+hatk` along `3hati+4hatk` is

A

`(1)/(2)`

B

`(14)/(5)`

C

2

D

`(6)/(5)`

Text Solution

Verified by Experts

The correct Answer is:
C
Let `vecA=2hati+3hatj+hatk vecB=3hati+5hatk`
`vec(A).vec(B)=|vecA||vecB| cos theta`
The magnitude of the component `vecA` along `vecB=|vecA| cos theta=(vecA.vecB)/(|vecB|) rArr ((2hati+3hatj+hatk).(3hati+4hatk))/(sqrt(3^(2)+4^(2))) rArr 2`
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